Question

Me ajudem nessa questão

Answer 1

a)

$2^{x} .4^{x+1} .8^{x+2} >16^{x+3}$

$2^{x} .(2^{2} )^{x+1} .(2^{3}) ^{x+2} >(2^{4} )^{x+3} }$

$2^{x}.2^{2x+2} .2^{3x+6} >.2^{4x+12}$

$2^{x+2x+2+3x+6}>2^{4x+12}$

$x+2x+2+3x+6>4x+12$

$6x+7>4x+12$

$2x>5$

$x>\frac{5}{2}$

b)

$2^{x} \geq 128$

$2^{x} \geq 2^{7}$

$x\geq 7$

c)

$(0,1)^{5x-1} <(0,1)^{2x+11}$

$5x-1<2x+11$

$3x<12$

$x<\frac{12}{3}$

$x<4$